MATHEMATICS HIGH SCHOOL

Britt hires a personal trainer for the summer.The trainer charges a $40 sign up fee plus
$22.50 per hour. If Britt spends a total of
$940 over the summer, how many hours did
she train with the trainer?

Answers

Answer 1
Answer: 13 hours ( Is correct) hfjdjdkf

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My grandparents have four grandchildren. The product of the ages of the four grandchildren is 67 184. The youngest grandchild is younger than 10, and is also 30 years younger than the oldest grandchild.Determine all possibilities for the ages of my grandparents’ grandchildren.
Factor completely 3x2 + 9x − 3.3(x2 + 3) 3(x2 + 3x − 1) 3x(x2 + 3x − 1) Prime
What is the greatest common factor of 60x4y7, 45x5y5, and 75x3y?
A force of 3 pounds acts in the direction of 42 degrees to the horizontal. The force moves an object along a straight line from the point (3,7) to the point (8,8), with distance measured in feet. Find the work done by the force in foot-pounds.
A system in a noisy environment transmits 11111 or 00000 when 1 or 0 are transmitted to decrease the probability of error. Suppose the probability that one of the 5 transmitted bits is corrupted from 1 to 0 is 0.3 and the probability that a bit is corrupted from 0 to 1 is 0.1. Given that the probability that the system transmits a 0 or a 1 is equally likely, if 01101 was received what is the probability that a 1 was transmitted.

Describe how f(x)=2 cos (πx) and g(x)=2 cos (2πx) are related.

Answers

The derivative of the natural log is 1/x, therefore the derivative is 1/cos(x). However, since the value of cos(x) is submitted within the natural log we must use the chain rule. Then, we multiply 1/cos(x) by the derivative of cos(x). We get the answer: -sin(x)/cos(x) which can be simplified into -tan(x) i

Which of the following is a true statement?A. All squares are rectangles
B. All rectangles are squares
C. All rhombuses are squares

Answers


A rectangle is a parallelogram with interior right angles.
That description applies very satisfactorily to squares.
A square is a special kind of rectangle, so all squares are rectangles.

(All squares are rhombuses, parallelograms, and quadrilaterals too.)

Answer:  Option 'A' is correct and true.

Step-by-step explanation:

Square is the quadrilateral whose all sides are equal and all angles are right angles and

Rectangle is the quadrilateral whose opposite sides are equal and all angles are right angles.

so, All squares are rectangle as it satisfied the angle property of rectangle and opposite sides of square is also equal.

But all rectangles can't be a square as in rectangle all sides are not equal.

And all rhombus can't be squares as in square all angles are of right angles but rhombus does not possess such property at all.

Hence, Option 'A' is correct and true.

Cho số phức z thỏa mãn 2iz-5+i=i-(z-2i) tính modun của số phức w=z-1+i

Answers

Solve the given equation for z :

2iz - 5 + i = i - (z - 2i )

2iz - 5 = 2i - z

(2i + 1) z = 2i + 5

z = (2i + 5)/(2i + 1)

z = (2i + 5)/(2i + 1) × (2i - 1)/(2i - 1)

z = (4i ² + 10i - 2i - 5) / (4i ² - 1)

z = (8i - 9)/(-5)

z = 9/5 - 8/5 i

Then

w = z - 1 + i = 4/5 - 3/5 i

Sarah invested $2,500 in an account paying an interest rate of 2.1% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 14 years?

Answers

Answer:3400

Step-by-step explanation:

Final answer:

To find the amount of money in the account after 14 years with continuous compound interest, we can use the formula A = P * e^(rt), where P is the principal amount, e is Euler's number, r is the interest rate per year, and t is the number of years. Substituting the values into the formula, we find that the final amount in the account is approximately $3831.

Explanation:

To find the amount of money in the account after 14 years, we can use the formula for continuous compound interest, which is given by the formula:

A = P * e^(rt)

A is the final amount in the account (what we're trying to find)

P is the principal amount (the initial investment of $2,500)

e is Euler's number (approximately 2.71828)

r is the interest rate per year (2.1% or 0.021)

t is the number of years (14)

Substituting the values into the formula:

A = $2500 * e^(0.021 * 14)

Using a calculator, we can find that the final amount in the account is approximately $3831.

Learn more about Compound Interest here:

brainly.com/question/32594953

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Factor the polynomial.



54c3d4 + 9c4d2

Answers

54c*3d^4+9c*4d^2 

162cd^4+9c*4d^2 

162cd^4+36cd^2

Find a fraction in between 21/34 and 34/55

Answers

  • Answer:

2311/3740

  • Step-by-step explanation:

34 = 2×17

55 = 5×11

LCM = 2×5×11×17 = 1870

⁵⁵⁾21/34 = ²⁾1155/1870 = 2310/3740

³⁴⁾34/55 = ²⁾1156/1870 = 2312/3740

2310/3740 < 2311/3740 < 2312/3740

Answer:

A fraction between that is 2311/3740

Step-by-step explanation:

This is because the denominator is simplified into one number and the fraction is taken from there.
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A small town with a population of 1,200 residents held elections for the position of mayor. Four candidates had announced their candidature for the election. On the day of the election, a local newspaper conducted an exit poll near two polling booths with two groups of 100 residents each. The results are given in the table shown below.Name Group A Group BChris Jones 51 29Patrick Smith 6 4Michael Small 30 54Susan Davis 13 13Which of the following statements about the data above is true?A. The estimated number of residents who would have voted for Michael Small is higher for Group B than Group A.B. The estimates for both groups show an equal number of residents would have voted for Michael Small.C. The estimated number of residents who would have voted for Susan Davis is higher for Group A than Group B.D. The estimated number of residents who would have voted for Michael Small is higher for Group A than Group B.